The length of the monkeyface prickleback, a West Coast game fish, can be approximated by L = 71.5(1 - e-0.1t) and the weight by W = 0.01289 * L2.9, where L is the length in centimeters, t is the age in years, and W is the weight in grams. Source: California Fish and Game. a. Find the approximate length of a 5-year-old monkeyface. b. Find how fast the length of a 5-year-old monkeyface is growing. c. Find the approximate weight of a 5-year-old monkeyface. (Hint: Use your answer from part a.) d. Find the rate of change of the weight with respect to length for a 5-year-old monkeyface. e. Using the chain rule and your answers to parts b and d, find how fast the weight of a 5-year-old monkeyface is growing.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The length of the monkeyface prickleback, a West Coast
game fish, can be approximated by
L = 71.5(1 - e-0.1t)
and the weight by
W = 0.01289 * L2.9,
where L is the length in centimeters, t is the age in years, and
W is the weight in grams. Source: California Fish and Game.
a. Find the approximate length of a 5-year-old monkeyface.
b. Find how fast the length of a 5-year-old monkeyface is
growing.
c. Find the approximate weight of a 5-year-old monkeyface.
(Hint: Use your answer from part a.)
d. Find the rate of change of the weight with respect to length
for a 5-year-old monkeyface.
e. Using the chain rule and your answers to parts b and d, find
how fast the weight of a 5-year-old monkeyface is growing.
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